Question

The value of the function f (x) is 15/2 when x = -5 and is -73/2 when x = 3. What is the equation of the function?

Answer 1

y = -5.5x - 20

Explanation:

There are many functions that cross those points.

Assuming you're looking at a straight line.

y = mx + b

15/2 = -5m + b --> 7.5 = -5m + b

-73/2 = 3m + b --> -36.5 = 3m + b

Subtract the first from the second.

-44 = 8m

m = -5.5

Plugging back into the first equation, we get b = -20

Answer 2

f(x) = −11/2x − 20

Explanation: